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A man in a ladder is drawing a line chart as a summation of the finance tendencies.

A man in a ladder is drawing a line chart as a summation of the finance tendencies.

Schoolgirl doing math on blackboard

Schoolgirl doing math on blackboard

Female math teacher explaining summation to elementary school kids or pupils. Smiling african american woman teaching

Female math teacher explaining summation to elementary school kids or pupils. Smiling african american woman teaching

Help the Snow Yeti to down the mountain and score 40 points. Color elementary arithmetic maze game for children. Puzzle. Math

Help the Snow Yeti to down the mountain and score 40 points. Color elementary arithmetic maze game for children. Puzzle. Math

Sum of vectors

Schoolgirl solving math problems

Schoolgirl solving math problems

FINAL SUMMATION

FINAL SUMMATION

Tide Predicting Machine No. 2 ("Old Brass Brains"&#x29

This photo shows the largest of the three sections of Tide Predicting Machine No. 2, a special purpose mechanical analog computer for predicting the height and time of high and low tides. The gears on the left transmit power from the hand crank. The components on the right contribute to the computation of the time of high and low tides. The U.S. government used Tide Predicting Machine No. 2 from 1910 to 1965 to produce its tide predictions. The machine, also known as “Old Brass Brains,” uses an intricate arrangement of gears, pulleys, chains, slides, and other mechanical components to perform the computations. A person using the machine would require 2-3 days to compute a year’s tides at one location. A person performing the same calculations by hand would require hundreds of days to perform the work. The machine is 10.8 feet (3.3 m) long, 6.2 feet (1.9 m) high, and 2.0 feet (0.61 m) wide and weighs approximately 2,500 pounds (1134 kg). The operator powers the machine with a hand crank. The National Oceanic and Atmospheric Administration (NOAA) occasionally displays the machine at its facility in Silver Spring, Maryland. This photo shows the largest of the three sections of Tide Predicting Machine No. 2, a special purpose mechanical analog computer for predicting the height and time of high and low tides. The gears on the left transmit power from the hand crank. The components on the right contribute to the computation of the time of high and low tides. The U.S. government used Tide Predicting Machine No. 2 from 1910 to 1965 to produce its tide predictions. The machine, also known as “Old Brass Brains,” uses an intricate arrangement of gears, pulleys, chains, slides, and other mechanical components to perform the computations. A person using the machine would require 2-3 days to compute a year’s tides at one location. A person performing the same calculations by hand would require hundreds of days to perform the work. The machine is 10.8 feet (3.3 m) long, 6.2 feet (1.9 m) high, and 2.0 feet (0.61 m) wide and weighs approximately 2,500 pounds (1134 kg). The operator powers the machine with a hand crank. The National Oceanic and Atmospheric Administration (NOAA) occasionally displays the machine at its facility in Silver Spring, Maryland.

Sum of vectors

Solar powered electronic calculator

Solar powered electronic calculator in black with a gray keyboard providing normal addition, multiplication and division plus many other more sophisticated options (functions).

Summation with abacus

Summation with abacus

Mechanically Adding Trigonometric Functions

These components perform key computations for Tide Predicting Machine No. 2, a special purpose mechanical analog computer for predicting the height and time of high and low tides. The tide prediction formula implemented by the machine includes the addition of a series of cosine terms. The triangular metal pieces are part of slotted yoke cranks which convert circular motion to a vertical motion that traces a sinusoid. Each slotted yoke crank is connected by a shaft to a pulley, which causes the pulley to follow the sinusoidal motion. A chain going over and under pulleys sums each of their deflections to compute the tide. The U.S. government used Tide Predicting Machine No. 2 from 1910 to 1965 to predict tides for ports around the world. The machine, also known as “Old Brass Brains,” uses an intricate arrangement of gears, pulleys, chains, slides, and other mechanical components to perform the computations. A person using the machine would require 2-3 days to compute a year’s tides at one location. A person performing the same calculations by hand would require hundreds of days to perform the work. The machine is 10.8 feet (3.3 m) long, 6.2 feet (1.9 m) high, and 2.0 feet (0.61 m) wide and weighs approximately 2,500 pounds (1134 kg). The operator powers the machine with a hand crank. These components perform key computations for Tide Predicting Machine No. 2, a special purpose mechanical analog computer for predicting the height and time of high and low tides. The tide prediction formula implemented by the machine includes the addition of a series of cosine terms. The triangular metal pieces are part of slotted yoke cranks which convert circular motion to a vertical motion that traces a sinusoid. Each slotted yoke crank is connected by a shaft to a pulley, which causes the pulley to follow the sinusoidal motion. A chain going over and under pulleys sums each of their deflections to compute the tide. The U.S. government used Tide Predicting Machine No. 2 from 1910 to 1965 to predict tides for ports around the world. The machine, also known as “Old Brass Brains,” uses an intricate arrangement of gears, pulleys, chains, slides, and other mechanical components to perform the computations. A person using the machine would require 2-3 days to compute a year’s tides at one location. A person performing the same calculations by hand would require hundreds of days to perform the work. The machine is 10.8 feet (3.3 m) long, 6.2 feet (1.9 m) high, and 2.0 feet (0.61 m) wide and weighs approximately 2,500 pounds (1134 kg). The operator powers the machine with a hand crank.

White wall with black paint inscription summation on it

White wall with black paint inscription summation on it

NOAA's Tide Predicting Machine No. 2

This photo shows the largest of the three sections of Tide Predicting Machine No. 2, a special purpose mechanical analog computer for predicting the height and time of high and low tides. The gears on the left transmit power from the hand crank. The components on the right contribute to the computation of the time of high and low tides. The U.S. government used Tide Predicting Machine No. 2 from 1910 to 1965 to predict tides for ports around the world. The machine, also known as “Old Brass Brains,” uses an intricate arrangement of gears, pulleys, chains, slides, and other mechanical components to perform the computations. A person using the machine would require 2-3 days to compute a year’s tides at one location. A person performing the same calculations by hand would require hundreds of days to perform the work. The machine is 10.8 feet (3.3 m) long, 6.2 feet (1.9 m) high, and 2.0 feet (0.61 m) wide and weighs approximately 2,500 pounds (1134 kg). The operator powers the machine with a hand crank. The National Oceanographic and Atmospheric Administration (NOAA) maintains the machine in working order. This photo shows the largest of the three sections of Tide Predicting Machine No. 2, a special purpose mechanical analog computer for predicting the height and time of high and low tides. The gears on the left transmit power from the hand crank. The components on the right contribute to the computation of the time of high and low tides. The U.S. government used Tide Predicting Machine No. 2 from 1910 to 1965 to predict tides for ports around the world. The machine, also known as “Old Brass Brains,” uses an intricate arrangement of gears, pulleys, chains, slides, and other mechanical components to perform the computations. A person using the machine would require 2-3 days to compute a year’s tides at one location. A person performing the same calculations by hand would require hundreds of days to perform the work. The machine is 10.8 feet (3.3 m) long, 6.2 feet (1.9 m) high, and 2.0 feet (0.61 m) wide and weighs approximately 2,500 pounds (1134 kg). The operator powers the machine with a hand crank. The National Oceanographic and Atmospheric Administration (NOAA) maintains the machine in working order.

Summation of Space Frequencies

Summation of Space Frequencies

Mathematical Symbols Modern flat vector illustration Education theme Set of colorful flat math icons with long shadows

Mathematical Symbols Modern flat vector illustration Education theme Set of colorful flat math icons with long shadows

Dials on Tide Predicting Machine No. 2

Dials for tide height (outer ring), date, and time on Tide Predicting Machine No. 2, a special purpose mechanical analog computer for predicting the height and time of high and low tides. When the machine was in operation, the operator recorded the height and time of high and low tides, which were later reproduced in printed tide tables. The U.S. government used Tide Predicting Machine No. 2 from 1910 to 1965 to predict tides for ports around the world. The machine, also known as “Old Brass Brains,” uses an intricate arrangement of gears, pulleys, chains, slides, and other mechanical components to perform the computations. A person using the machine would require 2-3 days to compute a year’s tides at one location. A person performing the same calculations by hand would require hundreds of days to perform the work. The machine is 10.8 feet (3.3 m) long, 6.2 feet (1.9 m) high, and 2.0 feet (0.61 m) wide and weighs approximately 2,500 pounds (1134 kg). The operator powers the machine with a hand crank. Dials for tide height (outer ring), date, and time on Tide Predicting Machine No. 2, a special purpose mechanical analog computer for predicting the height and time of high and low tides. When the machine was in operation, the operator recorded the height and time of high and low tides, which were later reproduced in printed tide tables. The U.S. government used Tide Predicting Machine No. 2 from 1910 to 1965 to predict tides for ports around the world. The machine, also known as “Old Brass Brains,” uses an intricate arrangement of gears, pulleys, chains, slides, and other mechanical components to perform the computations. A person using the machine would require 2-3 days to compute a year’s tides at one location. A person performing the same calculations by hand would require hundreds of days to perform the work. The machine is 10.8 feet (3.3 m) long, 6.2 feet (1.9 m) high, and 2.0 feet (0.61 m) wide and weighs approximately 2,500 pounds (1134 kg). The operator powers the machine with a hand crank.

Company fusion. Concept business summation vector illustration, Agreement, Flat cartoon character style desing

Company fusion. Concept business summation vector illustration, Agreement, Flat cartoon character style desing

Help the unicorn blow 35 bubbles. Color elementary arithmetic maze game for children. Puzzle. Math summation tangled road with key

Help the unicorn blow 35 bubbles. Color elementary arithmetic maze game for children. Puzzle. Math summation tangled road with key

Looking into the Top of Tide Predicting Machine No. 2

These components perform key computations for Tide Predicting Machine No. 2, a special purpose mechanical analog computer for predicting the height and time of high and low tides. The tide prediction formula implemented by the machine includes the addition of a series of cosine terms. The triangular metal pieces are part of slotted yoke cranks which convert circular motion to a vertical motion that traces a sinusoid. Each slotted yoke crank is connected by a shaft to a pulley, which causes the pulley to follow the sinusoidal motion. A chain going over and under pulleys sums each of their deflections to compute the tide. Along the top of the photo, connecting shafts drive slotted yoke cranks on both sides of the machine. The U.S. government used Tide Predicting Machine No. 2 from 1910 to 1965 to predict tides for ports around the world. The machine, also known as “Old Brass Brains,” uses an intricate arrangement of gears, pulleys, chains, slides, and other mechanical components to perform the computations. A person using the machine would require 2-3 days to compute a year’s tides at one location. A person performing the same calculations by hand would require hundreds of days to perform the work. The machine is 10.8 feet (3.3 m) long, 6.2 feet (1.9 m) high, and 2.0 feet (0.61 m) wide and weighs approximately 2,500 pounds (1134 kg). The operator powers the machine with a hand crank. The National Oceanic and Atmospheric Administration (NOAA) occasionally displays the machine at its facility in Silver Spring, Maryland. These components perform key computations for Tide Predicting Machine No. 2, a special purpose mechanical analog computer for predicting the height and time of high and low tides. The tide prediction formula implemented by the machine includes the addition of a series of cosine terms. The triangular metal pieces are part of slotted yoke cranks which convert circular motion to a vertical motion that traces a sinusoid. Each slotted yoke crank is connected by a shaft to a pulley, which causes the pulley to follow the sinusoidal motion. A chain going over and under pulleys sums each of their deflections to compute the tide. Along the top of the photo, connecting shafts drive slotted yoke cranks on both sides of the machine. The U.S. government used Tide Predicting Machine No. 2 from 1910 to 1965 to predict tides for ports around the world. The machine, also known as “Old Brass Brains,” uses an intricate arrangement of gears, pulleys, chains, slides, and other mechanical components to perform the computations. A person using the machine would require 2-3 days to compute a year’s tides at one location. A person performing the same calculations by hand would require hundreds of days to perform the work. The machine is 10.8 feet (3.3 m) long, 6.2 feet (1.9 m) high, and 2.0 feet (0.61 m) wide and weighs approximately 2,500 pounds (1134 kg). The operator powers the machine with a hand crank. The National Oceanic and Atmospheric Administration (NOAA) occasionally displays the machine at its facility in Silver Spring, Maryland.

Greek letter sigma icon

Summation Chain Close-Up

A part of the summation chain of Tide Predicting Machine No. 2, a special purpose mechanical analog computer for predicting the height and time of high and low tides. By wrapping above and below a series of pulleys, the chain sums their deflections, which is a key component of computing tides. The U.S. government used Tide Predicting Machine No. 2 from 1910 to 1965 to predict tides for ports around the world. The machine, also known as “Old Brass Brains,” uses an intricate arrangement of gears, pulleys, chains, slides, and other mechanical components to perform the computations. A person using the machine would require 2-3 days to compute a year’s tides at one location. A person performing the same calculations by hand would require hundreds of days to perform the work. The machine is 10.8 feet (3.3 m) long, 6.2 feet (1.9 m) high, and 2.0 feet (0.61 m) wide and weighs approximately 2,500 pounds (1134 kg). The operator powers the machine with a hand crank. A part of the summation chain of Tide Predicting Machine No. 2, a special purpose mechanical analog computer for predicting the height and time of high and low tides. By wrapping above and below a series of pulleys, the chain sums their deflections, which is a key component of computing tides. The U.S. government used Tide Predicting Machine No. 2 from 1910 to 1965 to predict tides for ports around the world. The machine, also known as “Old Brass Brains,” uses an intricate arrangement of gears, pulleys, chains, slides, and other mechanical components to perform the computations. A person using the machine would require 2-3 days to compute a year’s tides at one location. A person performing the same calculations by hand would require hundreds of days to perform the work. The machine is 10.8 feet (3.3 m) long, 6.2 feet (1.9 m) high, and 2.0 feet (0.61 m) wide and weighs approximately 2,500 pounds (1134 kg). The operator powers the machine with a hand crank.

Tide Formula Component Cranks on Tide Predicting Machine No. 2

Tide formula component cranks on Tide Predicting Machine No. 2, a special purpose mechanical analog computer for predicting the height and time of high and low tides. The mechanical arrangement (a slotted crank yoke) converts circular motion to a sinusoidal motion. The operator adjusts the position of the pin on each crank to represent the tide formula at a specific port before starting computations. The pin position affects the amplitude and phase of the sinusoid. The U.S. government used Tide Predicting Machine No. 2 from 1910 to 1965 to predict tides for ports around the world. The machine, also known as “Old Brass Brains,” uses an intricate arrangement of gears, pulleys, chains, slides, and other mechanical components to perform the computations. A person using the machine would require 2-3 days to compute a year’s tides at one location. A person performing the same calculations by hand would require hundreds of days to perform the work. The machine is 10.8 feet (3.3 m) long, 6.2 feet (1.9 m) high, and 2.0 feet (0.61 m) wide and weighs approximately 2,500 pounds (1134 kg). The operator powers the machine with a hand crank.

Two Sections of Tide Predicting Machine No. 2

Tide Predicting Machine No. 2 is a special purpose mechanical analog computer for predicting the height and time of high and low tides. The U.S. government used Tide Predicting Machine No. 2 from 1910 to 1965 to predict tides for ports around the world. The machine, also known as “Old Brass Brains,” uses an intricate arrangement of gears, pulleys, chains, slides, and other mechanical components to perform the computations. A person using the machine would require 2-3 days to compute a year’s tides at one location. A person performing the same calculations by hand would require hundreds of days to perform the work. The machine is 10.8 feet (3.3 m) long, 6.2 feet (1.9 m) high, and 2.0 feet (0.61 m) wide and weighs approximately 2,500 pounds (1134 kg). The operator powers the machine with a hand crank. Tide Predicting Machine No. 2 is a special purpose mechanical analog computer for predicting the height and time of high and low tides. The U.S. government used Tide Predicting Machine No. 2 from 1910 to 1965 to predict tides for ports around the world. The machine, also known as “Old Brass Brains,” uses an intricate arrangement of gears, pulleys, chains, slides, and other mechanical components to perform the computations. A person using the machine would require 2-3 days to compute a year’s tides at one location. A person performing the same calculations by hand would require hundreds of days to perform the work. The machine is 10.8 feet (3.3 m) long, 6.2 feet (1.9 m) high, and 2.0 feet (0.61 m) wide and weighs approximately 2,500 pounds (1134 kg). The operator powers the machine with a hand crank.

Summation Chain

The summation chain runs around pulleys on Tide Predicting Machine No. 2, a special purpose mechanical analog computer for predicting the height and time of high and low tides. The pulleys move up and down and the chain sums their displacements to compute the height or time of high and low tides. The U.S. government used Tide Predicting Machine No. 2 from 1910 to 1965 to predict tides for ports around the world. The machine, also known as “Old Brass Brains,” uses an intricate arrangement of gears, pulleys, chains, slides, and other mechanical components to perform the computations. A person using the machine would require 2-3 days to compute a year’s tides at one location. A person performing the same calculations by hand would require hundreds of days to perform the work. The machine is 10.8 feet (3.3 m) long, 6.2 feet (1.9 m) high, and 2.0 feet (0.61 m) wide and weighs approximately 2,500 pounds (1134 kg). The operator powers the machine with a hand crank.

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